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100080616541 is a prime number
BaseRepresentation
bin101110100110101000…
…1010000010001011101
3100120022210100002100112
41131031101100101131
53114431114212131
6113550522535405
710142043130103
oct1351521202135
9316283302315
10100080616541
1139497998544
1217490967565
13958c427639
144bb5a47c73
15290b36102b
hex174d45045d

100080616541 has 2 divisors, whose sum is σ = 100080616542. Its totient is φ = 100080616540.

The previous prime is 100080616469. The next prime is 100080616561. The reversal of 100080616541 is 145616080001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87660405625 + 12420210916 = 296075^2 + 111446^2 .

It is a cyclic number.

It is not a de Polignac number, because 100080616541 - 218 = 100080354397 is a prime.

It is a super-2 number, since 2×1000806165412 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100080616498 and 100080616507.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100080616561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50040308270 + 50040308271.

It is an arithmetic number, because the mean of its divisors is an integer number (50040308271).

Almost surely, 2100080616541 is an apocalyptic number.

It is an amenable number.

100080616541 is a deficient number, since it is larger than the sum of its proper divisors (1).

100080616541 is an equidigital number, since it uses as much as digits as its factorization.

100080616541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5760, while the sum is 32.

Adding to 100080616541 its reverse (145616080001), we get a palindrome (245696696542).

The spelling of 100080616541 in words is "one hundred billion, eighty million, six hundred sixteen thousand, five hundred forty-one".